Two pop to mind right away:
Spaceballs
Galaxy Quest
My knowledge of the sci fi world is very very limited believe me, and i’m sure there are others out there that would make this a fun arc to do, somewhere down the road. whadayall think?
(apologies if this has been brought up before.)
Good idea. Star Wreck would be a must-see too.
Oh yeah. And the Pink Five series.
I don’t usually like parodies. But I make an exception for Galaxy Quest. Absolutely loved it. Seen it it a few times now. Would love a podcast on it.
Hardware Wars.
I got to say… Spaceballs is a great one!!!
Bravo, sir. “Help me Oggie Ben Doggy, you’re my only hope.”
And while not “really” a parody, I feel compelled to add Ice Pirates to this list.
“Basketball is a peacefull planet!”
“You’ll laugh, you’ll cry, you’ll kiss three bucks goodbye!”
I’m amazed at how much I still remember from that.
Fluke Starbucker and Ham Salad…LOL. I laughed til I cried but fortunately didn’t pay to watch it. 
Use the Force Fluke!
Only one man would dare give me the Raspberry. LONESTAR!!!
Galaxy Quest is a fantastic movie. Some friends made me watch it a long time ago during a movie night when I wanted to watch something else. I can’t stand Tim Allen, and their assurances that “You like Star Track, right? You’ll like this?” did not enthuse me.
Five minutes into the movie, I was laughing my guts out. Now it’s one of my favorites. I’ve seen a few Galaxy Quest quotes 'round these parts, so I’m sure this group would have a good time with it.